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Finding the Fourth Proportional to 963.90, 1,329.62 and 632.34

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Solution

The fourth proportional to 963.90, 1,329.62 and 632.34 is: 872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.90 : 1,329.62 = 632.34 : x
  2. Step 2: Convert to fraction form
    963.90/1,329.62 = 632.34/x
  3. Step 3: Cross multiply
    963.90x = 1,329.62 × 632.34
  4. Step 4: Simplify right side
    963.90x = 840,768.75
  5. Step 5: Solve for x
    x = 840,768.75/963.90
  6. Step 6: Final answer
    x = 872.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.